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Article

Kornhuber, R. and Krause, R. and Sander, O. and Deuflhard, P. and Ertel, S. (2008) A monotone multigrid solver for two body contact problems in biomechanics. Computing and Visualization in Science, 11 (1). pp. 3-15. ISSN 1432-9360

Kornhuber, R. and Krause, R. (2006) Robust multigrid methods for vector-valued Allen-Cahn equations with logarithmic free energy. Computing and Visualization in Science, 9 (2). pp. 103-116. ISSN 1432-9360

Krause, R. and Sander, O. (2006) Automatic construction of boundary parametrizations for geometric multigrid solvers. Computing and Visualization in Science, 9 (1). pp. 11-22. ISSN 1432-9360

Deuflhard, P. and Ertel, S. and Kornhuber, R. and Krause, R. and Sander, O. (2006) Patient-specific simulation of dynamic stress distribution in the human knee. Journal of Biomechanics, 39 . p. 47. ISSN 0021-9290

Wohlmuth, B. and Krause, R. (2003) Monotone methods on non-matching grids for non-linear contact problems. SIAM J. Sci. Comput., 25 (1). pp. 324-347. ISSN 1064-8275

Krause, R. and Wohlmuth, B. (2002) A Dirichlet-Neumann type algorithm for contact problems with friction. Computing and Visualization in Science, 5 (3). pp. 139-148. ISSN 1432-9360

Kornhuber, R. and Krause, R. (2001) Adaptive multigrid methods for Signorini's problem in linear elasticity. Computing and Visualization in Science, 4 (1). pp. 9-20. ISSN 1432-9360

Krause, R. and Wohlmuth, B. (2001) Domain decomposition methods on nonmatching grids and some applications to linear elasticity problems. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 81 (Suppl.). pp. 21-24. ISSN 0044-2267

Wohlmuth, B. and Krause, R. (2001) A multigrid method based on the unconstrained product space for Mortar finite element discretizations. SIAM Journal on Numerical Analysis, 39 (1). pp. 192-213. ISSN 0036-1429

Krause, R. and Wohlmuth, B. (2000) Nonconforming decomposition methods: Techniques for linear elasticity. East-West Journal of Numerical Mathematics, 8 (3). pp. 177-206. ISSN 1569-3953; 0928-0200

Book Section

Krause, R. and Sander, O. (2005) Fast solving of contact problems on complicated geometries. In: Domain Decomposition Methods in Science and Engineering XIII. Lecture Notes in Computational Science and Engineering, 40 . Springer, Berlin, pp. 495-502. ISBN 978-3-540-22523-2

Kornhuber, R. and Krause, R. (2003) On multigrid methods for vector-valued Allen-Cahn equations. In: Proceedings of the fourteenth international conference on domain decomposition methods. National Autonomous University of Mexico (UNAM), Mexico City, Cocoyoc, Mexico, pp. 307-314. ISBN 970-32-0859-2

Krause, R. and Wohlmuth, B. (2000) Multigrid methods for Mortar finite elements. In: Multigrid Methods VI. Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27–30. Springer Berlin Heidelberg, pp. 136-142. ISBN 978-3-540-67157-2